On the eigenstructure of the (α,q)(α,q)(\alpha,q)-Bernstein operator

Bülent KÖROĞLU; Fatma TAŞDELEN YEŞİLDAL

doi:https://doi.org/10.15672/hujms.779544

Makale detayları

On the eigenstructure of the (α,q)(α,q)(\alpha,q)-Bernstein operator

Yazarlar:

Bülent KÖROĞLU | Fatma TAŞDELEN YEŞİLDAL

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1111-1122

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450580

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.779544

Özet:

 

The eigenvalues and eigenvectors of (α,q)(α,q)(\alpha,q)-Bernstein operators are unknown and not studied in the literature.  As the main result of this article, the eigenvalues and eigenvectors of (α,q)(α,q)(\alpha,q)-Bernstein operators are obtained. Moreover, we will give the asymptotic behaviour of these eigenvalues and eigenvectors for all q>0.q>0.q>0. Some eigenvectors for various values of αα\alpha and qqq are depicted.

Makale detayları

On the eigenstructure of the (α,q)(α,q)(\alpha,q)-Bernstein operator

Yazarlar: Bülent KÖROĞLU | Fatma TAŞDELEN YEŞİLDAL

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1111-1122

Belge Tipi: Makale

Yayın Tarihi: 8/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450580

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.779544

Sayı

Yazarlar:

Bülent KÖROĞLU | Fatma TAŞDELEN YEŞİLDAL

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1111-1122

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450580

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.779544